The pioneering and wide-ranging research of A. E. Green--one of the outstanding British researchers in theoretical and applied mechanics--is the subject of this important new volume. Featuring sixteen up-to-date research papers written by his eminent colleagues and friends, the book covers a variety of topics from thermodynamics to problems associated with crystals; linear, nonlinear and fibre-reinforced elastic materials; and viscoplastic and granular materials. Perfect for students and researchers alike,Nonlinear Elasticity and Theoretical Mechanicsis a superb tribute to the work of one of England's great scientists.
1. Quasistatic Cycles in Dynamic Linear Thermoelasticity 2. The Second-order Deformation of an Incompressible Isotropic Slab Under Torsion 3. Reversible and Non-dissipative Processes 4. Convexity Consideration for the Biharmonic Equation in Place Polars with Applications to Elasticity 5. Bending of a Beam or Wide Strip 6. Finite-amplitude Waves in Deformed Mooney-rivlin Materials 7. Continuum Theory for Biaxial Nematic Liquid Crystals 8. Fourier-transform Solution of a Boussinesq Problem for a Hexagonally Aelotropic Elastic Half-space 9. Asymptotic and Other Estimates for a Similinear Elliptic Equation in a Cylinder 10. Closure of an Arc Crack in an Isotropic HomogeneousMaterial Due to Unaxial Loading 11. Linear Dynamical Stability in Constrained Thermoelasticity I. Deformation--Temperature Constraints 12. Linear Dynamical Stability in Constrained Thermoelasticity II. Deformation--Entropy Constraints 13. Deformations of an Elastic, Internally Constrained MaterialPart 2: Non-homogeneous Deformations 14. Finite Deformations of a Fibre-reinforced Cantilever: Distributed-load Solutions 15. Gravity Flow of a Granular Material in Compression BetweenVertical Walls and Through a Tapering Vertical Channel 16. On the Dynamical Theory of Rigid-viscoplastic Materials